3838960960 has 28 divisors (see below), whose sum is σ = 9141526548. Its totient is φ = 1535584256.

The previous prime is 3838960943. The next prime is 3838960973. The reversal of 3838960960 is 690698383.

It can be written as a sum of positive squares in 2 ways, for example, as 2113057024 + 1725903936 = 45968^2 + 41544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3838960898 and 3838960907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5998057 + ... + 5998696.

It is an arithmetic number, because the mean of its divisors is an integer number (326483091).

Almost surely, 2^3838960960 is an apocalyptic number.

It is an amenable number.

3838960960 is an abundant number, since it is smaller than the sum of its proper divisors (5302565588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3838960960 is a wasteful number, since it uses less digits than its factorization.

3838960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11996770 (or 11996760 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The square root of 3838960960 is about 61959.3492541683. The cubic root of 3838960960 is about 1565.8058040018.

The spelling of 3838960960 in words is "three billion, eight hundred thirty-eight million, nine hundred sixty thousand, nine hundred sixty".